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Simplifying 9(x + 12) + -24 = 5x + 4 Reorder the terms: 9(12 + x) + -24 = 5x + 4 (12 * 9 + x * 9) + -24 = 5x + 4 (108 + 9x) + -24 = 5x + 4 Reorder the terms: 108 + -24 + 9x = 5x + 4 Combine like terms: 108 + -24 = 84 84 + 9x = 5x + 4 Reorder the terms: 84 + 9x = 4 + 5x Solving 84 + 9x = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 84 + 9x + -5x = 4 + 5x + -5x Combine like terms: 9x + -5x = 4x 84 + 4x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 84 + 4x = 4 + 0 84 + 4x = 4 Add '-84' to each side of the equation. 84 + -84 + 4x = 4 + -84 Combine like terms: 84 + -84 = 0 0 + 4x = 4 + -84 4x = 4 + -84 Combine like terms: 4 + -84 = -80 4x = -80 Divide each side by '4'. x = -20 Simplifying x = -20
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